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Finding the Third Proportional to 294,942.50 and 451,009.50

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Solution

The third proportional to 294,942.50 and 451,009.50 is: 689,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,942.50 : 451,009.50 = 451,009.50 : x
  2. Step 2: Convert to fraction form
    294,942.50/451,009.50 = 451,009.50/x
  3. Step 3: Cross multiply
    294,942.50x = 451,009.50 × 451,009.50
  4. Step 4: Simplify right side
    294,942.50x = 203,409,569,090.25
  5. Step 5: Solve for x
    x = 203,409,569,090.25/294,942.50
  6. Step 6: Final answer
    x = 689,658.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.